Li Coefficients and the Riemann Hypothesis: Structural Results and Quantitative Improvements (v51-final)

This v51-final bundle is the logical continuation of the v50 baseline (DOI: 10.13140/RG.2.2.24650.02241). It aggregates structural and quantitative breakthrough results for Li coefficients across five mainlines:1. Total Positivity and Variation-Diminishing (T4/T5): Optimal cutoff K* and Jensen hyperbolicity2. Explicit Analytical Refinement (Tnew): Weighted Li~ equivalence to RH with tail improvements3. Hecke/Hilbert Verification (T6): Uniform family thresholds for Dirichlet and Hecke L-functions4. Lean Sorry Elimination (AKT-LEAN0): Complete formalization with zero sorry obligations5. Human-Readable Proof (AKT-PROOF): Complete proof backbone with referee materials